write commutative, associative and distributive properties for rational numbers, explain with example
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commutative property
a + b = b + a ( where a and b are rational no.)
it follows in addition subtraction multiplication and division
Associative property
a + ( b + c) = (a + b) + c
it also follows in all mathematical operations
Distributive property
a (b+ c)= ab + ac
it also follows in all mathematical operations
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Answer:
- Commutative laws say we can swap numbers, and you still get the same number when you add, for example, a+b = b+a and same for multiplication.
- Associative laws say it does not matter how we group the number final value will remain the same, for example, (a+b)+c = (a+b)+c , and same for multiplication.
- Distributive laws say that we can have the same answer while multiplying a number by a group of numbers added together or multiplying them separately and then add them, For example, a x ( b+c) = axb + axc
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